Sri Tripurasundari Gayathri & Sri Bala Sahasranamam. By Dr. R. Thiagarajan. • 1 song, Play on Spotify. 1. Sri Tripurasundari Gayathri & Sri Bala. COM 5 BALA TRIPURA SUNDARI SAHASRANAMA STOTRAM VI VAMAKESHWARA TANTRA 6 vishvAtmikA vishvamAtA. Find album reviews, stream songs, credits and award information for Sri Balatripura Sundari Sahasranamam – Prof. Thiagarajan on AllMusic –

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H H immediately remarked, “Thyagaraja, how can you recite the sahasranAma? The same flow is prescribed by lalitA parameshwarI herself, which cannot be ignored, even if one decides to ignore hayagrIva:. Though it is beneficial to refer to other sources or tantras to examine this adhikAra, the chief sources are the purvOttara pIThikAs of the sahasranAma and the body of the sahasranAma itself. If you have attained niShkAma bhava, what are you reciting this mantra for?

H H Mahasannidhanam during his visit to Bangalore in the late 90s [was it 99? Lord adds an adjective to the shrIvidyA that he is talking about: To clarify that the reference here is to kAdi, the name kAmasevitA is inserted.

Bala or Panchadashi?

Then there is an explicit prescription in this verse to recite the fifteen-lettered mantra. So where are we talking about bAlA here? There is an ApatkAla charyA described next but we can simply consider the above general verse for our discussion.

The same flow is prescribed by lalitA parameshwarI herself, which cannot be ignored, even if one decides to ignore hayagrIva: One, who does not recite the name and is not initiated into the mantrarAja, is a pashu. If this rule were to be true, those initiated into mantras of annapUrNA or hayArUDhA sahasranamsm would qualify to recite the sahasranama as well. But, there is no pramANa or even logic in assuming the vice versa to be true and claiming bAlA mantra as the qualifying factor for shrIvidyopAsanA, shrIchakrArchana etc.

So, does that mean that one initiated into the hoary aShTakSharI mantra of the Lord is eligible to recite this sahasranAma? Again, one should refer to the names: The word pashu has been explained earlier by the Lord [mantrarAjaM na vetti yaH]. A particular prescription given to a particular person by a mahAn is applicable only to that specific case and cannot be taken as a general rule, especially when it contradicts shAstra balaa.

Though all devatAs are same in essence, the sattvaika ghanIbhUta svarUpa of mahAkAmeshwara mithuna, which distinguishes it from every other deity from shrIvidyA perspective, including bAlA, cannot be neglected when talking of names and forms. You perform Gayatri Japa, till you get initiated”. This name is interpreted to mean either shuddhavidyA or bAlA based on the sUtra: Are the eight different versions of bAlA sahasranAma in the Tantras merely present for the sake of exhibition?

Some mahans permit this.

There is no mention whatsoever of bAlA mantra here. Balx who has bhakti towards kAlI will recite her sahasranAma, szhasranamam attached to durgA will recite hers and the same holds true for bAlA as well. Baoa days, especially in Andhra Desha, every person discusses Srividya like the local news.

No, they are meant to be used by the upAsakas of bAlA. The Lord clearly hints at that as well:. But the distinction between the two is clearly made by the very technical usage of the word: The lady, along with her son, came in and said: Merely eyeballing through this analogy presented by Lord hayashIrSha is sufficient to give one a fair idea on how the different pieces fit. Many times, when one talks of the word shrIvidyA, people tend to refer to bAlA as laghu shrIvidyA, which seems to me to be a colloquial notion than anything else.

The Lord clearly hints at that as sahastanamam The Sahasranama should be kept as a secret [i. But that was specific to that case and he never stated it to be a general rule.

More by Dr. R. Thiagarajan

sahadranamam Every commentator interprets this verse as panchadashI and there is no room for confusion here. Moreover, shrI bhAskararAya does not even accept this verse to merely mean panchadashI and declares that the reference here is certainly to ShodashI by stating what the Tantra defines as shrIvidyA:. Irrespective of who says what, one should examine the shAstra pramANa for even an ativarNAshramI avadhUta sahasanamam not truly perform actions that transgress shAstra maryAda, even while in a high state of ecstasy.

Moreover, when dealing with a work related to names and forms, how can sahaaranamam same be neglected while arriving at adhikAra nirNaya? You do not have shrIvidyA upadesha. The devotee first worships the chakrarAja or shrIchakra by a process called navAvaraNa Krama, recites panchadashI and then recites the sahasranAma.


Why has international migration become an issue of such intense public and political concern? How closely linked are migrants with terrorist. The rising rates of international migration have been matched by growing public Khalid Koser reveals the opportunities migration presents that must be taken. International Migration: A Very Short Introduction looks at the phenomenon Khalid Koser, author Lecturer in Human Geography at University College, London.

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His goal throughout is to allow readers to see beyond the negative spin usually given the subject by the media and politicians, and come to their own conclusions on the current international migration situation. Oxford University Press Amazon. So, this is, internationa, my opinion, a great book to give directions and help you to organize your ideas before buying all about international migration without knowing the directions of each book yeah, the author does explain abt other books too.

Sign in via your Institution. Migration and development 5. khakid

International Migration: A Very Short Introduction – Khalid Koser – Google Books

Refugees and asylum seekers 7. I have read quite a few of these Very Short Introduction books and inrernational is my least favorite. There are a number of falsehoods, such as [U]ntil recently the political and economic climate in Europe has made it difficult to argue the case for the positive economic benefits of immigration. How closely linked are migrants with terrorist organizations? Trivia About International Mig Who is a migrant? For Love of Country? Who is a migrant? Nov 01, William Crow rated it it was amazing.

The future of international migration. Jun 06, Mel rated it really liked it.

International Migration: A Very Short Introduction

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Amazon Second Chance Pass it on, trade it in, give it a second life. Other editions – View all International migration: Would you like to tell us about a lower internatipnal This very short introduction does exactly what it says it does: Oxford University Press Amazon.

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He tries to come across as balanced but this is anything but. It was a “is that really him? Read this book for class migration and integration.

He cannot make a factual statement such as, “50 percent of immigrants have PhDs”, so has to say something vague such as “among the immigrants, there are rocket scientists, engineers, and doctors” he doesn’t make this exact remark but others like it. Try the Kindle edition and experience these great reading features: A Very Short Introduction Paperback.

Today, the political and media attention on migration and Oxford Migratoon Press; 1 edition May 1, Language: Access to the complete content on Very Short Introductions migrahion requires a subscription or purchase.

If you are kualid for an easy read book, filled with information and good examples, this book is for you. Migration and globalization 4.

Using interviews with migrants from around the world, this VSI presents the human side of topics such as asylum and refugees, human trafficking, migrant smuggling, development, and the international labour force. Amazon Renewed Refurbished products with a warranty.

All the time the British press whip up a frenzy about illegal immigrants, fake asylum seekers they pretend to be gay or lesbian, you know, and say they will be persecuted internayional they’re sent back, ard you know they’re not gay or lesbian at all and evil jihadis coming over here and wanting to establish Sharia law.

International Migration: A Very Short Introduction – Very Short Introductions

This Very Short Introduction looks at the phenomenon of international List ijternational illustrations Abbreviations 1. To see what your friends thought of this book, please sign up. This is one of those fields that a curious adult without any specific training is likely to know something about, but only in bits and pieces, with some obsolete info and some outright errors mixed in.

This Very Short Introduction looks at the phenomenon of international human migration — both legal and illegal — to reveal that migration actually presents opportunities that must be taken advantage of in light of the current economic climate. Learn more about Amazon Prime. She was born on a native Indian reservation and they didn’t notice such things. Shopbop Designer Fashion Brands.

Jesus was a Migrant Paperback.

Feb 23, PolicemanPrawn rated it it was ok Shelves:

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Results 1 – 30 of 64 Camaradas del frente by Hassel Sven and a great selection of related books, art and collectibles available now at Los gastos de envío son calculados para un peso inferior a 1kg, superándose este peso le informaremos de los gastos de envío adicionales. Bookseller. Camaradas del frente by Sven Hassel at – ISBN – ISBN – – Softcover.

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More likely, he did not thought of a message, but just wanted to describe some funny stories during war time that would entertain the reader.

His son, Gunni, has camaradaz sent to a Nazi home. Jul 21, Otto Thebierdude rated it really liked it. Tiny mistakes a group of Red Cross nurses for a travelling brothel!! Did it not happen anything else in that war? The section goes to Moscow with a group of Brandenburger commandoes. He was transferred to a Sonderabteilung, a penal unit manned by criminals and dissidents.

Tiny collects cigarette butts to re-use. But as I said, expect very little action from this book. Careful division of supplies by Dep and Lt Ohlsen. Description of Tiny’s odd behaviour while in love. Visit to Russian village. Well let’s take it one by one and analyze the novel in several aspects, in order to rate it.

Lots of nasty characters in attendance. Plus, they are the same as in the previous ten novels from the series. Time in field hospital at Cracow.

The Legionnaire takes command. Just a moment while we sign you in to your Goodreads account.

Comrades of war

Last minute reprieve for our heroes. Porta and Tiny find stores including a cat.

Ohlsen walks in the rain thinking of old comrades. Before Moscow More fighting. O los quieres o los odias. This book is not yet featured on Listopia.

Comrades of War – Sven Hassel Official Site

Bust up between Tiny and Emma. The happy couple then have a bust up. I doubt it as other writers found some other aspects to wr From the start, I must say that I never considered myself a fan of Sven Hassel’s literature and this novel did not made me change my mind. Talk about hospital and reference to its location in Hamburg and hospital staff and their fate after the war. Be the first to ask a question about The Bloody Road to Death.

Tiny has a bet on whether a dog can eat a human appendix which is lying in an operating bowl.

A Casual Affair Ohlsen almost goes to the Gestapo. The Last Days of Thunder Child To summarize, the novel seems just another clone of Legion of Damned. Story of Ewald the Pimp. Comrades of War Chapter by chapter – Book covers – Other languages – Quotes Introduction to Comrades of War Wonderful novel and a great English translation by Sverre Lyngstad who took on the job as practice for more respectable projects. It is using the same type of situations, that I thought at a moment that I am re-reading parts of the first novel from the series.

Giuliano rated it liked it Aug 10, Return to Book Page. Gambling in hospital basement. But it is more that just applying the same recipe, only changing slightly the background. And they do not change. Long description of enormous feast. They attack a tank factory and make the long trip back – managing to spy on a few women along the way.

He surrendered to Soviet troops in Berlin in and spent the following years in various POW camps. Jewish KZ prisoner emerges.

Aunt Dora deals with them with the help of Pretty Paul top value episode. James rated it it was ok Aug 14, To view it, click here. The characters are marvellous as they chat during lulls in the fighting.

Pretty Paul takes over the investigation.


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Abu Hamza Thumali (r.a) was a close companion of Imam Sajjad (a.s) He has related that during the month of Ramadhan Imam Sajjad (a.s) used to spend a. Dua taught by Imam Ali Zaynul Abideen (pbuh) to Abu Hamza Thumali, who said that Imam used to recite it at the time of the beginning of the fast. the fast he recited the following dua’a. This Du„ā‟ has been recorded in the Read the invocation of Abū Hamza Thumālī as uttered by. Imam Sayyid as- Sājidīn.

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O’ The Most bountiful who was ever wished! Abu Hamza al-Thumali had great esteem for Imams, and they apparently considered him trustworthy.

Dua Abu Hamza Thumali | Ahlul Bayt | Islam | Pinterest | Islam, Quran and Allah

All Praise is for Allah whom I call upon with my needs whenever I wish, and I entrust Him with my secrets without an intercessor, and He grants me my wishes. Accept my prayer And renown my commemoration, And elevate my degree, And forgive my sin. Sbu my Lord is the most praised by me of all, and most worthy of my praise.

O’ Lord have mercy toward my expatriation in this life, and my tragedy upon death, and my solitude in the grave, and my loneliness in the grave, and because whenever Eua am dispatched for judgment before Your hands, my situation is humiliated, and forgive what is concealed from the humans of my secretive bad deeds, and prolong for me what You hamzx my secret sins with, and confer Your benevolence on me when I am laying motionless on the death bed so that the beloved of my relatives surround me, and grant me Your bountifulness when I am stretched on the funeral bath so that the good-deeded of my community may wash me, and bestow Your kindred tenderness upon me when I am carried while my relatives hand over the extremities of my coffin, and award me Your generosity when I am transported and finally delivered and left alone in my grave, and have mercy on my solitary confinement in this new residence so that I may not be comforted by anyone but You.

You graced me with, and confer on me from Your bounties, vast awards that are lawful and good.

My knowledge, O’ my Yamza, is that which guides me to You and my love is my intercessor to You, and I am trusting of my evidence with Your guidance and comfortable of my intercessor with Your intercession. By using this site, you agree to the Terms of Use and Privacy Policy.

Accept my repentance so that I may not disobey You, And inspire me with righteousness and its implementation, And the observance of Your presence in the night and the day as long as You let me live, O’ Allah and Cherisher of the worlds. Forgive the believers, be they men or women, living or dead, and let us follow on their path with good deeds.

Dua Abu Hamza Thumali

And what is the value of my good deeds beside Your gifts and fortitude with me? You protect the secretive sin with Your generosity and You delay my punishment with Your patience, So to You extends all the Praise for having tthumali and yet been patient, and for having pardoned even though You are capable of punishing. This is the posture of the one who sought refuge through You and allied himself with Your generosity, and became accustomed to Your forbearance and favors, And You are the benevolent whose forgiveness is never strained, neither are Your bounties ever decreasing, nor is Your mercy ever lacking, And we have known with certainty of Your ancient pardon, great bountifulness and vast mercy, Would You, O’ Allah, ever disappoint our thoughts or let down our hopes?

The supplication is seen in the Eqbal al-A’mal of Sayyed Ibn Tawuswhich begins by describing the following chain of authority: He wrote several works about Islamic subjects such as the Kitab fi Tafsir al-Quran al-Karim an exegesis of the QuranKitab al-Nawadir a book on the rare thingsKitab al-Zuhd on asceticism and Al-Risalah al-Huquq about all kinds tuumali rights.

O’ Hamzaa of sins! Fulfill my desire and secure my fright because I can not avert the result of my numerous sins except with Your pardon. You did say and all of what You say is true and what You promise is unconditional that ” O’ believers ask Allah of His bounty, for Allah is Merciful towards you”, And it is not from Your features, O’ my Master, to order me to ask and prevent the answer, and You are the Grantor of all bounties on all wbu of Your kingdom and the Giver of Your consoling tenderness.

Supplication of Abu Hamza al-Thumali

I call upon Your beautiful protection of secrets, I call upon Your abundant pardon, I call upon Your neighboring relief, I call upon Your quick rescue, I call upon Your vast mercy and compassion, I call upon Your bountiful gifts, I call upon Your blessed awards, I call upon Your splendid favors, I call upon Your immense bountifulness, I call upon Your enormous endowments, I call upon Your ancient benefaction, I call upon Your benevolence, O’ Most Generous.

Even if You tied me with the chains of hell, And You deprived me Your flowing stream of favors from between the witnesses of the day of JudgmentAnd You pointed out my scandals to the eyes of Your worshipers, And You ordered me to hell, And You isolated me from the company of the faithfuls, I would not end my hope in You, and I would not dismiss my reassurance of Your pardon, and my love to You would not depart from my heart, I do not forget the helping hand You bestowed upon me, and Your protection of my secrets in life.

And what motivates and dares me to disobey You is Your patience with me, and what invites me to the lack of shyness from You is Your protection of my concealed sins. I did not disobey You when I did because I rejected Your divinity, or because I belittled Your commands, or that I was daringly challenging Your punishment, or that I did not appreciate Your forewarning, Yet the mistake has occurred, and my self misled me, and my sinful desires won over me, and my misery helped me to it, and Your protective veil over my sins lured me, For I have disobeyed You and opposed You with my own will, and now from Your retribution who would rescue me, and from the hands of Your angels of punishment tomorrow in the hereafterwho would redeem me, and with whose rope do I hold on to if You cut off Your rope from me, so what a pity for what Your book has recorded on me, Indeed, if it was not for my anticipation of Your generosity and vast mercifulness as well as Your ordering me not to lose hope in Your salvation that I would have despaired whenever I remembered it my sin.

Supplication of Abu Hamza al-Thumali – Wikipedia

This page was last edited on 16 Octoberat Indeed no one can shield me from Your punishment and I can not find before You any other shelter, So leave not in me any deed worthy of Your punishment and lead me not back into jeopardy and lead me not into painful retribution.

Indeed Your generosity has expanded my hope in YouAnd your acceptance has led to the taking of my deed.

Javascript is required to use this website translatorfree translator. You are more vast in bountifulness and greater in patience than to judge me according to my deed, or to stumble me with my sin. Audio Dua Abu Hamza Thumali. I settle my destination, dependence, hope and reliance upon You, And with Your mercy, I cling; You bestow Your mercy on whomever You please and You guide with Your benevolence whomever You like, So praise to You for Your purifying my heart from taking false partners to You, Avu praise to You for releasing my tongue, Is it with this heavy tongue of mine I thank You or with the utmost effort of mine do I satisfy You?

You have revealed in Your holy book for us to forgive those who committed injustice toward us, and we have committed injustice thumaki sinning toward ourselves so pardon our conduct, for You are more worthy of pardoning than we are; And You commanded us not turn away the needy who knock on our doors, and I hereby come to You needy, so turn me not away until You fulfill my need; And You commanded us to treat justly those whose freedom reins we hold, and You hold our reins of freedom, anu liberate our necks from the hell fire.

CreateSpace Independent Publishing Platform. To You I resort, and with You I appealed for help and sought refuge, And I would never seek anyone but You, nor would I ever request relief but from You, So come to my aid, and relieve du. All Praise is for Allah who treats me with clemency, just as if I have no sin.

My hope, my Master is ever great, but my deeds have worsened, so grant me from Your pardon by as much as I had hoped, and please, do not judge me by my worst mischief, for Your generosity is greater than punishing the sinners, and Your forbearance and patience is higher than recompensing the inadequates.

The Academy for Learning Islam.

O’ The delight of the eye of who sought You for refuge and dedicated himself to You! Provide me with Your bounties and grant me charity with Your pardon, O’ my Lord, cover me with Your protection and pardon me of my punishment by the honor of you face. Ali al-Ridhathe eighth Ab of Shia, stated about him: Muhammad Ali Fatimah Hasan Hussein.

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Bruno Bosteels, Professor of Romance Studies at Cornell University, is the author of Badiou and Politics, Marx and Freud in Latin America, and The Actuality of. Bruno Bosteels, Columbia University, Latin American and Iberian Cultures Department, Faculty Member. Studies Romance Studies, Critical Theory, and Latin. Bruno Bosteels. Follow. Follow on Amazon. Follow authors to get new release updates, plus improved recommendations and more coming soon. Learn More.

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Le Marteau sans maître is a composition by French composer Pierre Boulez. First performed in . This movement, scored only for flute and voice, lays out pitch multiplication in a more straightforward way than movements I and VII. For the first. Sheet Music – £ – Study score for Boulez’s Le Marteau sans maître on poems by Renè Char for solo alto and six instruments. Our selection of quality classical guitars is available by the same mail order service and by audition in your Marteau sans Maitre [score] | BOULEZ.

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Cookies help us with shop features and services. You will regularly receive information about new scores with free downloads, current prize games and news about our composers.

Le Marteau sans maître

Shopping Cart 0 item. Arrangements in pitch order throughout these PDAs reveals many symmetrical and palindromic arrangements, which are further explored both in Winick’s and Koblyakov’s analyses. These cookies are safe and secure and will never contain any sensitive information.

For the first 11 measures, Boulez mostly sticks to one pitch multiplication set per measure. He then shaped his material more or less intuitively, using both his “ear” and various msitre constraints. Boulez had the intellectually less ambitious goal of developing a system that could just produce a quantity of musical material having a certain consistency.

Despite having been published in andanalysts were unable to explain Boulez’s compositional methods until Lev Koblyakov in Heinemann The voice and five pitched instruments can be arranged in a line, each pair connected by a similarity, as in the following diagram quoted from Grondines In Boulez revised the order of these movements and interpolated three newly composed ones Mosch44— We use Cookies on our website in order to improve services. Customers who bought this item also bought The xylorimba recalls the African balafon ; the vibraphonethe Balinese gamelan ; and the guitarthe Japanese kotothough “neither the style nor the actual use of these instruments has any connection with these different musical civilizations” “Speaking, Playing, Singing” in Boulez Bboulez considering “complicatedness to be a neutral value and complexity to be a positive one”, and therefore that only musical surfaces leading to complexity employ “the full potential of our cognitive maltre, many kinds of music satisfy such criteria e.

The organization deciphered by Koblyakov was just a means, and not the only one, towards an artistic end. Chamber Music and Ensembles.

Boulez (Le) marteau sans maître

Each of the parts is scored differently; four are for voice and changing instruments, while five are purely instrumental. Using these 25 groups in conjunction with pitch multiplication, Boulez is able to create 25 “harmonic fields” within each set. As with the first cycle, Boulez’s overall formal maifre is quite complex and shows many patterns.

Through these movements, especially movement VI, Boulez uses a technique called “pitch-duration association” by Steven Winick. Composition Artist Credits Pli selon pli.

The purpose is to allow a graduated deconstruction of the voice into percussive noises, a compositional technique which has been common throughout Boulez’s work e.

Le Marteau sans maître

However, cohesive vocal and instrumental parts do not follow one another directly; they are woven throughout the entire piece like a web. Gitano Guitar Support French – English Series: Publications from the Paul Sacher Foundation Year of composition: However, both of these movements play essential roles in the piece, especially when one takes into account the extreme levels of symmetry and pattern employed by Boulez in his composition of the work.

In addition, the first note within a pair receives an attack of some sort—legato for piano and pianissimoaccent for mezzo forte and mezzo pianoand sforzando for forte and fortissimo.

The Furious Craftsmanship The red caravan on the edge of the nail And corpse in the basket And plowhorses in the horseshoe I dream the head on the point of my knife Peru. Lerdahl cautions, however, that “There is no obvious relationship between the comprehensibility of a piece and its value” Lerdahl We also store anonymised information on mzitre you use our site in order to improve your experience.

In addition to coordinating durations with certain pitches, Boulez assigns dynamics and attacks to pitches in a similar manner.

With this technique, Boulez takes two clusters and takes the sum of every possible scote between the two clusters. As a result, Scruton says that, especially where pitches are concerned, Le Marteau “contains no recognizable material — no units of significance that can live outside the work that produces them” Sanns Etudes simples Series 4 Zigante Boulez groups these notes into five sets according to five different rotations on the pattern 2—4—2—1—3, reflecting the highly mathematical nature in which this piece is composed.

NB If you haven’t ordered prior to you may need to create a new user account as dormant accounts may have scorf deleted. Koblyakov5. The composer in Comparison of the two versions makes the difference in handling the singing voice very clear: Etudes simples Series 3 Zigante In so doing, he listened much as another listener might.


important generalization of the Gronwall-Bellman inequality. Proof: The assertion 1 can be proved easily. Proof It follows from [5] that T(u) satisfies (H,). Keywords: nonlinear Gronwall–Bellman inequalities; differential of the Gronwall inequality were established and then applied to prove the. At last Gronwall inequality follows from u (t) − α (t) ≤ ∫ a t β (s) u (s) d s. Btw you can find the proof in this forum at least twice share|cite|improve this.

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Fractional calculus in the fractal theory and the systems with memory have the same importance as the classic analysis in mechanics of continuous medium.

The fractional derivatives are described in the Caputo sense. Such a step fractional Brownian motion can be obtained as a solution of the fractional Langevin equation with zero damping.

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. We present the analytical technique for solving fractional -order, multi-term fractional differential equation.

Motivated by subdiffusive motion of biomolecules observed in living cells, we study the stochastic properties of a non-Brownian particle whose motion is governed by either fractional Brownian motion or the fractional Langevin equation and restricted to a finite domain. For the equation of water flux within a multi- fractional multidimensional confined aquifer, a dimensionally The equations have a sound physical basis and lead to physically correct coefficients in all flow situations.

For this purpose, a novel operational matrix of fractional -order derivatives of Fibonacci polynomials was constructed and employed along with the application of the tau and collocation spectral methods. Full Text Available We perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The analytical solutions within the nondifferential terms are discussed.

phosphate-water fractionation equation: Topics by

Fractional Klein-Gordon equation composed of Jumarie fractional derivative and its interpretation by a smoothness parameter. We utilize the Riemann-Liouville fractional calculus to implement it within the generalization of the well known class of differential equations.

Example demonstrates the generalized transfer function of an arbitrary viscoelastic system. Some properties of the fractional Schroedinger equation are studied. We make use of the Laplace transform operator to derive exact solution of singular perturbation fractional linear differential equations. Integrable coupling gronwall-bellman-iinequality of fractional soliton equation hierarchy.

Proof of Gronwall inequality – Mathematics Stack Exchange

Further studies have to be done to find meaningful quantum physics problems with involvement of the fractional probability current density vector and the extra term emerging in the framework of fractional quantum mechanics. Our work displays the elegant nature of the application of q-HAM not only to solve homogeneous non-linear fractional differential equations but also to solve the non-homogeneous fractional differential equations.

An example is constructed. Eigensolutions of this equation are presented which follow the same approach as that for the solution of the standard Dirac equation.

There are two forms of the lemma, a differential form and an integral form. Full Text Available In this paper, we investigate analytical solutions of multi-time scale fractional stochastic differential equations driven by fractional Brownian motions.

Grönwall’s inequality

Using the method of Lie point symmetry, we provide the associated vector fields, and derive the similarity reductions of the equationrespectively.

Full Text Available The fundamental solutions for linear fractional evolution equations are obtained.

The existence and uniqueness of the Mild solutions of the considered problem is also studied. The subordination principle, presented earlier in [J. For example, it can describe the process of tumor growth growth stimulation and growth inhibition in biomedical science.

We start with the standard Boltzmann equation ; averaging over photon frequencies leads to the appearance of a fractional derivative. As a result the diffusion equation of fractional order which describes the dispersion of particles in a highly heterogeneous or disturbed medium is obtained, i.

We present a Spline Collocation Method and prove the existence, uniqueness and convergence of approximate solution as well as error estimatio We use approximations for fractional derivatives in the Lagrangian and obtain the Euler-Lagrange equations which approximate the initial Euler-Lagrange equations in a weak sense.

We also use a fractional Klein-Gordon equation to obtain the fractional Dirac equation which is the same as that obtained using the fractional variational principle.

The main approaches to formulate a FVC, which are used in the physics during the past few years, will be briefly described in this paper.

Such a system appears in quantum mechanics. Full Text Available In recent time there is a very great interest in the study of differential equations of fractional order, in which the unknown function is under the symbol of fractional derivative. The main advantage of this method is that it can reduce the error of the approximate solutions.